Finding the Third Proportional to 95,208 and 194,784

Step by Step Solution

1. Step 1: Write the proportion equation
   95,208 : 194,784 = 194,784 : x
2. Step 2: Convert to fraction form
   95,208/194,784 = 194,784/x
3. Step 3: Cross multiply
   95,208x = 194,784 × 194,784
4. Step 4: Simplify right side
   95,208x = 37,940,806,656
5. Step 5: Solve for x
   x = 37,940,806,656/95,208
6. Step 6: Final answer
   x = 398,504.40